Difference between r1.1 and the current
@@ -6,6 +6,24 @@
----
w
[[chaos]]
[[동역학계,dynamical_system]]
w
opp. [[밀개,repeller]] - w
Sub
Lorenz_attractor
WtEn:Lorenz_attractor
WpSp:Lorenz_attractor = https://simple.wikipedia.org/wiki/Lorenz_attractor
WpEn:Lorenz_attractor
Rel
Lorenz equation = Lorenz_equation =,Lorenz_equation WtEn:Lorenz_equation https://ko.wikipedia.org/wiki/로렌즈_방정식
strange_attractor
https://encyclopediaofmath.org/wiki/Strange_attractor
https://mathworld.wolfram.com/StrangeAttractor.html
WpEn:Strange_attractor
redir to:
https://en.wikipedia.org/wiki/Rössler_attractor
...
----
REL[[chaos]]
[[동역학계,dynamical_system]]
@@ -20,14 +38,39 @@
[[orbit]] - [[궤도,orbit]] / [[자리길,orbit]] =,orbit { "궤도, 자리길" via KpsE:orbit }
[[극한순환,limit_cycle]] =극한순환,limit_cycle =,limit_cycle 극한순환 limit_cycle
{
"limit cycle"
KpsE:"limit cycle" { 2023-12 "limit cycle 극한 순환, 끝순환" }
KmsE:"limit cycle" { 2023-12 "limit cycle 극한주기궤도" }
Up: [[극한,limit]] [[순환,cycle]]
{
'''horseshoe map'''
[[극한순환,limit_cycle]] =극한순환,limit_cycle =,limit_cycle 극한순환 limit_cycle
{
limit cycle
WtEn:limit_cycle ?
KmsE:"limit cycle" { 2023-12 "limit cycle 극한주기궤도" }
일단
일단 직역으로 pagename 정함
https://mathworld.wolfram.com/LimitCycle.html
https://ko.wikipedia.org/wiki/극한_주기_궤도
https://en.wikipedia.org/wiki/Limit_cycle
([[Date(2023-12-01T17:12:39)]] 첫문단 : "In mathematics,
in the study of [[동역학계,dynamical_system|dynamical systems]] with two-dimensional [[위상공간,phase_space|phase space]],
a '''limit cycle''' is a closed [trajectory]{ WtEn:trajectory NdEn:trajectory KmsE:trajectory KpsE:trajectory } in phase space having the property that
at least one other trajectory spirals into it // NdEn:"spiral into" Ggl:"spiral into" Naver:"spiral into" ... 대충 "빨려들어가다" 정도?
either
as time approaches infinity
or
as time approaches negative infinity.
Such behavior is exhibited in some nonlinear systems.
'''Limit cycles''' have been used to model the behavior of many real-world oscillatory systems.
The study of limit cycles was initiated by [Henri_Poincare]{Henri Poincaré (1854–1912)}.")
https://ja.wikipedia.org/wiki/リミットサイクル
"limit cycle"
Ndict:"limit cycle" Ggl:"limit cycle" Naver:"limit cycle"
Up: [[극한,limit]] [[순환,cycle]]
}
} // limit cycle
[[horseshoe_map]] =,horseshoe_map =,horseshoe_map . horseshoe_map{
'''horseshoe map'''
@@ -42,15 +85,37 @@
Smale_horseshoe
"Smale horseshoe"
Ggl:"Smale horseshoe" Naver:"Smale horseshoe"
{
Wada basin
"Wada basin"
WtEn:Wada_basin
WpEn:Wada_basin - ([[Date(2023-12-01T16:39:32)]]) redir to: Wada_lake .... WpEn:Lakes_of_Wada = https://en.wikipedia.org/wiki/Lakes_of_Wada .... https://ja.wikipedia.org/wiki/和田の湖
Ggl:"Wada basin" Naver:"Wada basin"
}
----
<<tableofcontents>>
= wikiadmin =
"Smale horseshoe"
Ggl:"Smale horseshoe" Naver:"Smale horseshoe"
}
} // horseshoe map
[[뉴턴_방법,Newton_method]]
stable_manifold
WpEn:Stable_manifold = https://en.wikipedia.org/wiki/Stable_manifold
https://ja.wikipedia.org/wiki/安定多様体
----
basin / basin of attraction
WtEn:basin
NdEn:basin
https://mathworld.wolfram.com/BasinofAttraction.html
[[Wada_basin]] =,Wada_basin =,Wada_basin . Wada_basin{
Wada basin
"Wada basin"
WtEn:Wada_basin
https://mathworld.wolfram.com/WadaBasin.html
Ggl:"Wada basin" Naver:"Wada basin"
}
...........
sink
https://mathworld.wolfram.com/MapSink.html
<<tableofcontents>>
= wikiadmin =
@@ -63,7 +128,7 @@
WtEn:attractor
MathWorld:Attractor
[[MathWorld:Attractor]] = https://mathworld.wolfram.com/Attractor.html
Zeta:끌개
@@ -74,7 +139,8 @@
WpSp:Attractor
WpEn:Attractor
...
Ndict:끌개
WpEn:Attractor
WpJa:
[[WpJa:アトラクター]]
= https://ja.wikipedia.org/wiki/アトラクター
...
Ndict:끌개
끌개 (KPS),
흡입자 (KMS),
어트랙터 (transliteration)
흡입자 (KMS),
어트랙터 (transliteration)
w
opp. 밀개,repeller - w
Sub
Lorenz_attractor
Lorenz_attractor
Lorenz_attractor = https://simple.wikipedia.org/wiki/Lorenz_attractor
Lorenz_attractor
Rel
Lorenz equation = Lorenz_equation =,Lorenz_equationLorenz_equation https://ko.wikipedia.org/wiki/로렌즈_방정식
strange_attractor
...
Lorenz_attractor
Lorenz_attractorLorenz_attractor = https://simple.wikipedia.org/wiki/Lorenz_attractorLorenz_attractorRel
Lorenz equation = Lorenz_equation =,Lorenz_equation
Lorenz_equation https://ko.wikipedia.org/wiki/로렌즈_방정식https://encyclopediaofmath.org/wiki/Strange_attractor
https://mathworld.wolfram.com/StrangeAttractor.html
Strange_attractor
https://en.wikipedia.org/wiki/Rössler_attractorhttps://mathworld.wolfram.com/StrangeAttractor.html
Strange_attractorredir to:
...
REL
chaos
동역학계,dynamical_system
고정점,fixed_point
위상공간,phase_space
oscillator - 떨개,oscillator or 진동자,oscillator
orbit }
극한순환,limit_cycle =극한순환,limit_cycle =,limit_cycle 극한순환 limit_cycle
{
limit cycle
chaos
동역학계,dynamical_system
고정점,fixed_point
위상공간,phase_space
oscillator - 떨개,oscillator or 진동자,oscillator
van_der_Pol_oscillator =,van_der_Pol_oscillator =,van_der_Pol_oscillator . van_der_Pol_oscillator
van der Pol oscillator
van_der_Pol_oscillator
van_der_Pol_oscillator = https://en.wikipedia.org/wiki/Van_der_Pol_oscillator
ファン・デル・ポール振動子 = https://ja.wikipedia.org/wiki/ファン・デル・ポール振動子
orbit - 궤도,orbit / 자리길,orbit =,orbit { "궤도, 자리길" via van der Pol oscillator
van_der_Pol_oscillatorvan_der_Pol_oscillator = https://en.wikipedia.org/wiki/Van_der_Pol_oscillatorファン・デル・ポール振動子 = https://ja.wikipedia.org/wiki/ファン・デル・ポール振動子orbit }극한순환,limit_cycle =극한순환,limit_cycle =,limit_cycle 극한순환 limit_cycle
{
limit cycle
일단 직역으로 pagename 정함
https://en.wikipedia.org/wiki/Limit_cycle
(2023-12-02 첫문단 : "In mathematics,
in the study of dynamical systems with two-dimensional phase space,
a limit cycle is a closed trajectory{trajectory 
trajectory 
trajectory trajectory } in phase space having the property that
at least one other trajectory spirals into it //spiral into 
spiral into 
spiral into ... 대충 "빨려들어가다" 정도?
Limit cycles have been used to model the behavior of many real-world oscillatory systems.
The study of limit cycles was initiated by Henri_Poincare{Henri Poincaré (1854–1912)}.")
https://ja.wikipedia.org/wiki/リミットサイクルin the study of dynamical systems with two-dimensional phase space,
a limit cycle is a closed trajectory{
trajectory trajectory trajectory trajectory } in phase space having the property thatat least one other trajectory spirals into it //
spiral into spiral into spiral into ... 대충 "빨려들어가다" 정도?either
as time approaches infinity
or
as time approaches negative infinity.
Such behavior is exhibited in some nonlinear systems.as time approaches infinity
or
as time approaches negative infinity.
Limit cycles have been used to model the behavior of many real-world oscillatory systems.
The study of limit cycles was initiated by Henri_Poincare{Henri Poincaré (1854–1912)}.")
Up: 극한,limit 순환,cycle
} // limit cycle
horseshoe_map =,horseshoe_map =,horseshoe_map . horseshoe_map
{
horseshoe map
horseshoe_map ?
Horseshoe_map = https://en.wikipedia.org/wiki/Horseshoe_map
Up: map
"horseshoe map"
horseshoe map horseshoe map
} // limit cycle
horseshoe_map =,horseshoe_map =,horseshoe_map . horseshoe_map
{
horseshoe map
horseshoe_map ?Horseshoe_map = https://en.wikipedia.org/wiki/Horseshoe_mapUp: map
"horseshoe map"
horseshoe map horseshoe mapsee also
Smale horseshoe
Smale_horseshoe
"Smale horseshoe"
Smale horseshoe Smale horseshoe
} // horseshoe map
뉴턴_방법,Newton_method
stable_manifold
Smale horseshoe
Smale_horseshoe
"Smale horseshoe"
Smale horseshoe Smale horseshoe} // horseshoe map
뉴턴_방법,Newton_method
stable_manifold
basin / basin of attraction
https://mathworld.wolfram.com/BasinofAttraction.html
Wada_basin =,Wada_basin =,Wada_basin . Wada_basin
sink
Wada_basin =,Wada_basin =,Wada_basin . Wada_basin
{
Wada basin
"Wada basin"
Wada_basin
https://mathworld.wolfram.com/WadaBasin.html
Wada_basin - (2023-12-02) redir to: Wada_lake .... Lakes_of_Wada = https://en.wikipedia.org/wiki/Lakes_of_Wada .... https://ja.wikipedia.org/wiki/和田の湖
Wada basin Wada basin
}
...........Wada basin
"Wada basin"
Wada_basinhttps://mathworld.wolfram.com/WadaBasin.html
Wada_basin - (2023-12-02) redir to: Wada_lake .... Lakes_of_Wada = https://en.wikipedia.org/wiki/Lakes_of_Wada .... https://ja.wikipedia.org/wiki/和田の湖Wada basin Wada basin}
sink
